82002768721920 has 288 divisors, whose sum is σ = 300924917944560. Its totient is φ = 20581086658560.

The previous prime is 82002768721897. The next prime is 82002768721949. The reversal of 82002768721920 is 2912786720028.

82002768721920 is a `hidden beast` number, since 8 + 200 + 276 + 87 + 2 + 1 + 92 + 0 = 666.

82002768721920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24603486 + ... + 27736925.

Almost surely, 2^{82002768721920} is an apocalyptic number.

82002768721920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82002768721920 is an abundant number, since it is smaller than the sum of its proper divisors (218922149222640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82002768721920 is a wasteful number, since it uses less digits than its factorization.

82002768721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52340461 (or 52340438 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82002768721920 in words is "eighty-two trillion, two billion, seven hundred sixty-eight million, seven hundred twenty-one thousand, nine hundred twenty".